Q: What are the prime factors of the number 151,555,424?

 A: 2, 59, 80273

Why are those the prime factors of the number 151,555,424?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 151,555,424

151,555,424
Factor Arrows
275,777,712
Factor Arrows
237,888,856
Factor Arrows
218,944,428
Factor Arrows
29,472,214
Factor Arrows
24,736,107
Factor Arrows
5980,273

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 59, 80273

We can check our work by multiplying all of the prime factors together: 2 x 2 x 2 x 2 x 2 x 59 x 80,273 = 151,555,424

This can also be written as 25 x 591 x 80,2731 = 151,555,424

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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